77158816 has 48 divisors (see below), whose sum is σ = 174242880. Its totient is φ = 32947200.

The previous prime is 77158799. The next prime is 77158841. The reversal of 77158816 is 61885177.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89395 + ... + 90253.

It is an arithmetic number, because the mean of its divisors is an integer number (3630060).

Almost surely, 2^77158816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77158816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87121440).

77158816 is an abundant number, since it is smaller than the sum of its proper divisors (97084064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77158816 is a wasteful number, since it uses less digits than its factorization.

77158816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its digits is 94080, while the sum is 43.

The square root of 77158816 is about 8784.0091074634. The cubic root of 77158816 is about 425.7243766550.

The spelling of 77158816 in words is "seventy-seven million, one hundred fifty-eight thousand, eight hundred sixteen".